Juliane G. Capaverde

activity

20152021

most citedRédei permutations with the same cycle structure

8 citations · 23 across the 4 of their papers we have counts for

collaborators

5 papers

math.NT2021★ 8 cited

Rédei permutations with the same cycle structure

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let $F_{q}$ be the finite field of order $q$ , and $P^{1} (F_{q}) = F_{q} \cup {\infty}$ . Write $(x + y)^{m}$ as $N (x, y) + D (x, y) y$ . For $m\in\mathb…

math.NT2020★ 5 cited

Rédei permutations with cycles of the same length

Juliane Capaverde, Ariane M. Masuda, Virgínia M. Rodrigues

Let $F_{q}$ be a finite field of odd characteristic. We study Rédei functions that induce permutations over $P^{1} (F_{q})$ whose cycle decomposition contains o…

math.AC2017

Gröbner Bases of Generic Ideals

Juliane Capaverde, Shuhong Gao

Let $I = (f_{1}, \dots, f_{n})$ be a homogeneous ideal in the polynomial ring $K [x_{1}, \dots, x_{n}]$ over a field $K$ generated by generic polynomials. Using an incremental approach bas…

cs.SC2017★ 2 cited

Functional Decomposition using Principal Subfields

Luiz E. Allem, Juliane Capaverde, Mark van Hoeij +1

Let $f \in K (t)$ be a univariate rational function. It is well known that any non-trivial decomposition $g \circ h$ , with $g, h \in K (t)$ , corresponds to a non-trivial subfield $K(f(t…

math.CO2015★ 8 cited

Resolvent Energy of Unicyclic, Bicyclic and Tricyclic Graphs

Luiz Emilio Allem, Juliane Capaverde, Vilmar Trevisan +3

The resolvent energy of a graph $G$ of order $n$ is defined as $E R = \sum_{i = 1}^{n} (n - λ_{i})^{- 1}$ , where $λ_{1}, λ_{2}, \dots, λ_{n}$ are the eigenvalues of $G$ . In a recent work [Gutman et al…